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## Homework Statement

1) A point charge is placed at the centre of a spherical Gaussian surface. Is Φ

_{E}changed,

a) if the surface is replaced by a cube of the same volume?

b) if the charge is moved off centre in the original sphere, still remaining inside?

2) A point charge q is placed at the centre of a cube of edge a. What is the flux through each of the cube faces? A point charge q is placed at one corner of a cube of edge a. What is the flux through each of the cube faces?

**The attempt at solution**

1) a) E remains same as the charge is not changed in magnitude. Surface area of the cube is different, Φ=Edscosθ

So ds being different Φ

_{E}will change.

b) If we consider the sphere to be our Gaussian surface, the charge enclosed does not change in its magnitude. Hence no change in Φ

_{E}

2) Φ

_{E}= q/6ε for both the cases as E,ds,q all remain same in both cases.

1) a) and 2) second part is wrong. Please explain.